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-0.3x^2+0.1=-0.01
We move all terms to the left:
-0.3x^2+0.1-(-0.01)=0
We add all the numbers together, and all the variables
-0.3x^2+0.11=0
a = -0.3; b = 0; c = +0.11;
Δ = b2-4ac
Δ = 02-4·(-0.3)·0.11
Δ = 0.132
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.132}}{2*-0.3}=\frac{0-\sqrt{0.132}}{-0.6} =-\frac{\sqrt{}}{-0.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.132}}{2*-0.3}=\frac{0+\sqrt{0.132}}{-0.6} =\frac{\sqrt{}}{-0.6} $
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